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In this paper we show that the continuum time version of the Minority Game satisfies the criteria for the application of a theorem on the existence of an invariant measure. We consider the special case of a game with "sufficiently"…

Probability · Mathematics 2008-04-17 Matteo Ortisi

The use of game theoretic methods for control in multiagent systems has been an important topic in recent research. Valid utility games in particular have been used to model real-world problems; such games have the convenient property that…

Computer Science and Game Theory · Computer Science 2022-09-16 David Grimsman , Philip N. Brown , Jason R. Marden

We discuss a modification of the Evolutionary Minority Game (EMG) in which agents are placed in the nodes of a regular or a random graph. A neighborhood for each agent can thus be defined and a modification of the usual relaxation dynamics…

Condensed Matter · Physics 2007-05-23 E. Burgos , Horacio Ceva , R. P. J. Perazzo

This paper gives a critical account of the minority game literature. The minority game is a simple congestion game: players need to choose between two options, and those who have selected the option chosen by the minority win. The learning…

General Finance · Quantitative Finance 2008-12-02 Willemien Kets

In competitive resource allocation formulations multiple agents compete over different contests by committing their limited resources in them. For these settings, contest games offer a game-theoretic foundation to analyze how players can…

Computer Science and Game Theory · Computer Science 2024-08-05 Gilberto Diaz-Garcia , Francesco Bullo , Jason R. Marden

We present a quantitative theory, based on crowd effects, for the market volatility in a Minority Game played by a mixed population. Below a critical concentration of generalized strategy players, we find that the volatility in the crowded…

Condensed Matter · Physics 2009-10-31 P. Jefferies , M. Hart , N. F. Johnson , P. M. Hui

We aim to study the effects of controlling the resource level in agent-based models. We study, both numerical and analytically, a Binary-Agent-Resource (B-A-R) model in which $N$ agents are competing for resources described by a resource…

Disordered Systems and Neural Networks · Physics 2007-05-23 Sonic H. Y. Chan , T. S. Lo , P. M. Hui , N. F. Johnson

We investigate the dynamics of network minority games on Kauffman's NK networks (Kauffman nets), growing directed networks (GDNets), as well as growing directed networks with a small fraction of link reversals (GDRNets). We show that the…

Other Condensed Matter · Physics 2007-05-23 Baosheng Yuan , Bing-Hong Wang , Kan Chen

We show that, in large population games, decentralized information aggregation generically corrects for individual-level biases. This establishes a new testable aggregate efficiency benchmark where the behavior of boundedly rational agents…

Theoretical Economics · Economics 2026-02-17 Florian Mudekereza

This paper presents a game theoretic solution for joint channel allocation and power control in cognitive radio networks analyzed under the physical interference model. The objective is to find a distributed solution that maximizes the…

Networking and Internet Architecture · Computer Science 2025-01-29 J. R. Gallego , M. Canales , J. Ortin

A population of heterogenous agents compeeting through a minority rule is investigated. Agents which frequently loose are selected for evolution by changing their strategies. The stationary composition of the population resulting for this…

Disordered Systems and Neural Networks · Physics 2009-10-31 Alexei Vazquez

Control of multi-agent systems via game theory is investigated. Assume a system level object is given, the utility functions for individual agents are designed to convert a multi-agent system into a potential game. First, for fixed…

Optimization and Control · Mathematics 2016-08-02 Ting Liu , Jinhuan Wang , Daizhan Cheng

We present a dynamical theory of a multi-agent market game, the so-called Minority Game (MG), based on crowds and anticrowds. The time-averaged version of the dynamical equations provides a quantitatively accurate, yet intuitively simple,…

Condensed Matter · Physics 2009-10-31 M. Hart , P. Jefferies , P. M. Hui , N. F. Johnson

We identify and investigate a computational model arising in molecular computing, social computing and sensor network. The model is made of of multiple agents who are computationally limited and posses no global information. The agents may…

Computational Complexity · Computer Science 2013-06-19 Elchanan Mossel , Anupam Prakash , Gregory Valiant

A binary constraint system game is a two-player one-round non-local game defined by a system of Boolean constraints. The game has a perfect quantum strategy if and only if the constraint system has a quantum satisfying assignment [R. Cleve…

Quantum Physics · Physics 2013-11-05 Zhengfeng Ji

The paper examines the learning mechanism of adaptive agents over weakly-connected graphs and reveals an interesting behavior on how information flows through such topologies. The results clarify how asymmetries in the exchange of data can…

Multiagent Systems · Computer Science 2015-12-08 Bicheng Ying , Ali H. Sayed

In the study of the evolution of cooperation, resource limitations are usually assumed just to provide a finite population size. Recently, however, it has been pointed out that resource limitation may also generate dynamical payoffs able to…

Biological Physics · Physics 2013-12-13 R. J. Requejo , J. Camacho

In a cooperative multiagent system, a collection of agents executes a joint policy in order to achieve some common objective. The successful deployment of such systems hinges on the availability of reliable inter-agent communication.…

Multiagent Systems · Computer Science 2022-01-19 Mustafa O. Karabag , Cyrus Neary , Ufuk Topcu

Naming Game is a recently proposed model for describing how a multi-agent system can converge towards a consensus state in a self-organized way. In this paper, we investigate this model on the so-called homogeneous small-world networks and…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Bo-Yu Lin , Jie Ren , Hui-Jie Yang , Bing-Hong Wang

The unprecedented access offered by the World Wide Web brings with it the potential to gather huge amounts of data on human activities. Here we exploit this by using a toy model of financial markets, the Minority Game (MG), to investigate…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Paolo Laureti , Peter Ruch , Joseph Wakeling , Yi-Cheng Zhang
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